"stop avoiding" is correct and usable in written English.
You can use it to urge someone to stop ignoring or evading a certain situation or task. Example: "You need to stop avoiding your responsibilities and face the consequences of your actions."
Nothing will change until American artists and companies stop avoiding the term "circus" and start celebrating it.
Abbott would do well to stop avoiding meetings with the head of the IMF and the World Bank.
"Though exciting advances, people should understand that these therapies are not necessarily a 'cure' – patients won't be able to trash their EpiPens or stop avoiding peanut products.
Cutting the 50p rate is a gamble, because the Treasury will lose £3bn unless the richest do what he asks, and stop avoiding paying tax.
The message of his appearance on behalf of corporations everywhere was: allow us to pay lower taxes, and we will stop avoiding them.
David Haye has reacted with scorn to Audley Harrison's comments that he should "man up" and stop avoiding their proposed all-British world heavyweight title fight in November.
But I stopped avoiding them when Glen was killed in Benghazi, Libya, in September.
There will be no suggestion that their companies could help pay for this if they stopped avoiding tax.
Joining the conversation a few minutes later, Ethan speculated that, after 15 films, the mass audience had simply stopped avoiding them.
If Americans stopped avoiding taxes, Congress would have enough money to give parents a few grand every year while still having a couple of billions to spare.
Drivers can conserve fuel by driving the speed limit, smoothing out driving to anticipate traffic stops, avoiding traffic if possible, and getting tires properly inflated while they are cold, prior to hitting the road.
